Abstract
An analytic approach in the QCD perturbation theory that has its origin in studies by Jones, Solovtsov, and Shirkov is briefly summarized. Basic propositions of the fractional analytic perturbation theory (FAPT) are also briefly taken into account with a fixed number of quark flavors and allowing for heavy-quark thresholds in a global FAPT version. Summation of perturbative series in (F)APT is examined. Application of the developed global FAPT version to calculations of the width of Higgs boson decay H → b \( \bar b \) is described.
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Bakulev, A.P. Resummation in QCD fractional analytic perturbation theory. Phys. Part. Nuclei 41, 905–909 (2010). https://doi.org/10.1134/S106377961006016X
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DOI: https://doi.org/10.1134/S106377961006016X